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Finding the Fourth Proportional to 157.65, 235.10 and 137.19

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Solution

The fourth proportional to 157.65, 235.10 and 137.19 is: 204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.65 : 235.10 = 137.19 : x
  2. Step 2: Convert to fraction form
    157.65/235.10 = 137.19/x
  3. Step 3: Cross multiply
    157.65x = 235.10 × 137.19
  4. Step 4: Simplify right side
    157.65x = 32,254.59
  5. Step 5: Solve for x
    x = 32,254.59/157.65
  6. Step 6: Final answer
    x = 204.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.